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Finding the Fourth Proportional to 102,597.60, 153,546.30 and 85,976.40

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Solution

The fourth proportional to 102,597.60, 153,546.30 and 85,976.40 is: 128,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.60 : 153,546.30 = 85,976.40 : x
  2. Step 2: Convert to fraction form
    102,597.60/153,546.30 = 85,976.40/x
  3. Step 3: Cross multiply
    102,597.60x = 153,546.30 × 85,976.40
  4. Step 4: Simplify right side
    102,597.60x = 13,201,358,107.32
  5. Step 5: Solve for x
    x = 13,201,358,107.32/102,597.60
  6. Step 6: Final answer
    x = 128,671.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.